2000213129 has 2 divisors, whose sum is σ = 2000213130. Its totient is φ = 2000213128.

The previous prime is 2000213123. The next prime is 2000213203. The reversal of 2000213129 is 9213120002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1091311225 + 908901904 = 33035^2 + 30148^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000213129 - 2¹⁶ = 2000147593 is a prime.

It is a super-2 number, since 2×2000213129² = 8001705122847941282, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2000213129.

It is not a weakly prime, because it can be changed into another prime (2000213123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000106564 + 1000106565.

It is an arithmetic number, because the mean of its divisors is an integer number (1000106565).

Almost surely, 2^2000213129 is an apocalyptic number.

It is an amenable number.

2000213129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000213129 is an equidigital number, since it uses as much as digits as its factorization.

2000213129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 2000213129 is about 44723.7423411771. The cubic root of 2000213129 is about 1259.9658025908.

The spelling of 2000213129 in words is "two billion, two hundred thirteen thousand, one hundred twenty-nine".